Characterization of the monotone polar of subdifferentials

Abstract : We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point. This provides a characterization of the monotone polar of subdifferentials of lower semicontinuous functions: it is a common subset of their graphs which depends only on the function.
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Optimization Letters, Springer Verlag, 2013, pp.1-4. <10.1007/s11590-013-0693-7>
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https://hal.archives-ouvertes.fr/hal-00842670
Contributeur : Marc Lassonde <>
Soumis le : mardi 9 juillet 2013 - 10:12:17
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

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Marc Lassonde. Characterization of the monotone polar of subdifferentials. Optimization Letters, Springer Verlag, 2013, pp.1-4. <10.1007/s11590-013-0693-7>. <hal-00842670>

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